Stable closed equilibria for anisotropic surface energies: Surfaces with\n edges

2011/10/19 by Bennett Palmer, Palmer, Bennett
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #53A10 #Differential Geometry (math.DG) #FOS: Mathematics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #nanoparticles nucleation surface interactions

paper · pdf · doi:10.48550/arxiv.1110.4342

openalex publication_date 2011/10/19 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28

Abstract

We study the stability of closed, not necessarily smooth, equilibrium\nsurfaces of an anisotropic surface energy for which the Wulff shape is not\nnecessarily smooth. We show that if the Cahn Hoffman field can be extended\ncontinuously to the whole surface and if the surface is stable, then the\nsurface is, up to rescaling, the Wulff shape.\n

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